12 citations · 38 across the 14 of their papers we have counts for
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math.AG2021
Dynamical moduli spaces and polynomial endomorphisms of configurations
Talia Blum, John R. Doyle, Trevor Hyde +3
A portrait is a combinatorial model for a discrete dynamical system on a finite set. We study the geometry of portrait moduli spaces, whose points correspond to equivalence classes…
math.NT2021
Dynatomic polynomials, necklace operators, and universal relations for dynamical units
John R. Doyle, Paul Fili, Trevor Hyde
Given a generic polynomial , the generalized dynatomic polynomial vanishes at precisely those such that has period exactly under iteration of…
math.NT2021
Galois groups and prime divisors in random quadratic sequences
John R. Doyle, Vivian Olsiewski Healey, Wade Hindes +1
Given a set defined over a field and an infinite sequence of elements of , one can associate an arboreal representation to , generalizing th…